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Finding the Fourth Proportional to 10,394.43, 15,592.97 and 4,770.74

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Solution

The fourth proportional to 10,394.43, 15,592.97 and 4,770.74 is: 7,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.43 : 15,592.97 = 4,770.74 : x
  2. Step 2: Convert to fraction form
    10,394.43/15,592.97 = 4,770.74/x
  3. Step 3: Cross multiply
    10,394.43x = 15,592.97 × 4,770.74
  4. Step 4: Simplify right side
    10,394.43x = 74,390,005.70
  5. Step 5: Solve for x
    x = 74,390,005.70/10,394.43
  6. Step 6: Final answer
    x = 7,156.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.